Big Idea: Observation and description of changes in the world around us are the first steps in finding and learning about patterns.
Essential Question: How can a graphing calculator help me to discover relationships between variables?
Problem 5.1: Experiment with your graphing calculator and the following equations. Graph one set of equations at a time. For each set, two of the graphs will be similar in someway. and one of the graphs will be different. Answer questions A and B for each set.
Set 1: y = 3x - 4 y + x squared y + 3x + 2 Set 2 :y= 5 y= 3x y= 1x Set 3: y= 2x+3 y= 2x-5 y=0.5x+2 Set 4 :y= 2x y= 2/x y= x+5
A. 1. Which two equations in the set have graphs that are similar?
2. In what ways are the two graphs similar?
3. In what ways are the equation for the two graphs similar?
B. 1. Which equation in the set has a graph that is different from the graphs of the other equations?
2. In what way is the graph different from the other graphs?
3. In what way is the equation different from the other equations?
Set 1: y = x squared y + 3x + 2
A.) 1. y = 3x - 4 and y + 3x + 2 2. They are they are parallel. 3. They are similar because the both have multiplication. B.) 1. y = x squared 2.They are parallel and this one looks like it going to become an oval. 3.The others are not squared and the amount is different. Set 2:y= 5 y= 3x y= 1x
A.) 1. y=3x and y=2x are similar becuase they have a sum.
2. They are similar becuase they steadily cross each other.
3. They have a sum that was very similar because y=3x and y=1x are separated by a number.
B.) 1. y=5 because it crosses the graph horizontal
2 .It doesn't cross angled and its separated from the others.
3. It doesn't have a sum (x)
Set 3:y= 2x+3 y= 2x-5 y=0.5x+2
A .) 1. y=2x+3 and y=2x-5
2. they have, are crossing together.
3. they have 2x_(+ or -)#
B.) 1. y=0.5x+2
2 .It crosses a different way
3. It doesn't have 2x_ (+or /) = #.
Set 4:y= 2x y= 2/x y= x+5
A.) 4: 1. y=2/x and y=x+5
2. they do the same thing, curve.
3.they have a sum.
B.) 1. y=2x
2.because it crosses
3.doesn't have a sum.
Follow up:
A. x=2 y=4
B.x=2/3 y=21/3
C. x=3.25 y= 6.50
d.
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2.
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3. They both have a number x and they both go in an stable adding
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Block D 75.1 Graphing on a Calculator
Big Idea: Observation and description of changes in the world around us are the first steps in finding and learning about patterns.
Essential Question: How can a graphing calculator help me to discover relationships between variables?Problem 5.1: Experiment with your graphing calculator and the following equations. Graph one set of equations at a time. For each set, two of the graphs will be similar in someway. and one of the graphs will be different. Answer questions A and B for each set.
Set 1: y = 3x - 4 y + x squared y + 3x + 2
Set 2 :y= 5 y= 3x y= 1x
Set 3: y= 2x+3 y= 2x-5 y=0.5x+2
Set 4 :y= 2x y= 2/x y= x+5
A. 1. Which two equations in the set have graphs that are similar?
2. In what ways are the two graphs similar?
3. In what ways are the equation for the two graphs similar?
B. 1. Which equation in the set has a graph that is different from the graphs of the other equations?
2. In what way is the graph different from the other graphs?
3. In what way is the equation different from the other equations?
Set 1: y = x squared y + 3x + 2
A.)
1. y = 3x - 4 and y + 3x + 2
2. They are they are parallel.
3. They are similar because the both have multiplication.
B.)
1. y = x squared
2.They are parallel and this one looks like it going to become an oval.
3.The others are not squared and the amount is different.
Set 2:y= 5 y= 3x y= 1x
A.)
1. y=3x and y=2x are similar becuase they have a sum.
2. They are similar becuase they steadily cross each other.
3. They have a sum that was very similar because y=3x and y=1x are separated by a number.
B.)
1. y=5 because it crosses the graph horizontal
2 .It doesn't cross angled and its separated from the others.
3. It doesn't have a sum (x)
Set 3:y= 2x+3 y= 2x-5 y=0.5x+2
A .)
1. y=2x+3 and y=2x-5
2. they have, are crossing together.
3. they have 2x_(+ or -)#
B.)
1. y=0.5x+2
2 .It crosses a different way
3. It doesn't have 2x_ (+or /) = #.
Set 4:y= 2x y= 2/x y= x+5
A.)
4: 1. y=2/x and y=x+5
2. they do the same thing, curve.
3.they have a sum.
B.)
1. y=2x
2.because it crosses
3.doesn't have a sum.
Follow up:
A. x=2 y=4
B.x=2/3 y=21/3
C. x=3.25 y= 6.50
d.
2.